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Finding the Fourth Proportional to 397,113.82, 548,020.71 and 215,826.24

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Solution

The fourth proportional to 397,113.82, 548,020.71 and 215,826.24 is: 297,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,113.82 : 548,020.71 = 215,826.24 : x
  2. Step 2: Convert to fraction form
    397,113.82/548,020.71 = 215,826.24/x
  3. Step 3: Cross multiply
    397,113.82x = 548,020.71 × 215,826.24
  4. Step 4: Simplify right side
    397,113.82x = 118,277,249,281.43
  5. Step 5: Solve for x
    x = 118,277,249,281.43/397,113.82
  6. Step 6: Final answer
    x = 297,842.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.